Question

How do you sketch the graph of `y=(x-5)^2` and describe the transformation?

Answer 1

See below.

Explanation:

`y=(x-5)^2`

The graph of `y` is the standard parabolic, concave up curve of `y=x^2` shifted ("transformed") by 5 units right ("positive") on the `x-`axis,

The graph of `y` is shown below.

graph{(x-5)^2 [-10, 10, -5, 5]}